Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify580.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	62	8
5	82	8
6	93	8
7	114	8
8	151	8
9	213	8
10	284	8
11	340	8
12	371	8
13	394	8
14	398	8
done	398	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x y (* (- x 1.0) z))
24.0ms	(* (- x 1.0) z)

series67.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma x y (* (- x 1.0) z))
31.0ms	(* (- x 1.0) z)

simplify1.0s

Counts

40 → 40

Iterations

Useful iterations: 3 (374.0ms)

Iter	Nodes	Cost
0	64	347
1	133	332
2	404	297
3	1553	293
done	5001	293

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma z (- x 1.0) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma z (- x 1.0) (* x y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma z (- x 1.0) (* x y))

simplify957.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	21	146
1	37	140
2	80	121
3	278	121
4	1750	121
done	5001	121

prune26.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
3.3b	(* (- (* x x) (* 1.0 1.0)) z)
5.9b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `times-frac` `associate-l` `associate-l/` `associate-/r` `log1p-expm1-u`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

11.0ms	(- (* x x) (* 1.0 1.0))
0.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
25.0ms	(* (- (* x x) (* 1.0 1.0)) z)
24.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series214.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* x x) (* 1.0 1.0))
62.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
47.0ms	(* (- (* x x) (* 1.0 1.0)) z)
61.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.0s

Counts

91 → 91

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	130	1301
1	337	1245
2	1366	1061
done	5001	892

prune210.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample523.0ms

Algorithm

intervals

Results

240.0ms

10141×

body

valid